40567680 has 96 divisors (see below), whose sum is σ = 140105160. Its totient is φ = 10816512.

The previous prime is 40567673. The next prime is 40567693. The reversal of 40567680 is 8676504.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2239 + ... + 9281.

Almost surely, 2^40567680 is an apocalyptic number.

40567680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70052580).

40567680 is an abundant number, since it is smaller than the sum of its proper divisors (99537480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40567680 is a wasteful number, since it uses less digits than its factorization.

40567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 40567680 is about 6369.2762540182. The cubic root of 40567680 is about 343.6054607757.

The spelling of 40567680 in words is "forty million, five hundred sixty-seven thousand, six hundred eighty".